Prime p₀= 789796948386286637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: schoussi
db: batch=73, k=10, 2 28 2 10 2

TPT(14)	789796079000804429	0 2 138 140 162 164 222 224 318 320 378 380 420 422	-869385482208
STPT(10)	789796116674421287	0 2 12 14 72 74 132 134 144 146	-831711865350
SPT(16)	789796135049198713	0 30 78 88 94 100 106 126 178 198 204 210 216 226 274 304	-813337087924
SPT(16)	789796469754578947	0 22 90 112 114 126 150 156 160 166 190 202 204 226 294 316	-478631707690
SPT(16)	789796517083356421	0 22 28 42 48 66 88 106 132 150 172 190 196 210 216 238	-431302930216
SPT(16)	789796922142980341	0 22 42 108 150 168 192 196 252 256 280 298 340 406 426 448	-26243306296
SPT(16)	789797271440308841	0 68 78 156 162 168 198 206 222 230 260 266 272 350 360 428	323054022204
STPT(10)	789797433772959107	0 2 12 14 42 44 72 74 84 86	485386672470
STPT(10)	789797523339222647	0 2 12 14 42 44 72 74 84 86	574952936010
SPT(16)	789797561245777813	0 36 70 108 198 204 264 270 274 280 340 346 436 474 508 544	612859491176
STPT(10)	789797700876774839	0 2 18 20 30 32 42 44 60 62	752490488202